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Finding the Third Proportional to 92,298 and 200,607

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Solution

The third proportional to 92,298 and 200,607 is: 436,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,298 : 200,607 = 200,607 : x
  2. Step 2: Convert to fraction form
    92,298/200,607 = 200,607/x
  3. Step 3: Cross multiply
    92,298x = 200,607 × 200,607
  4. Step 4: Simplify right side
    92,298x = 40,243,168,449
  5. Step 5: Solve for x
    x = 40,243,168,449/92,298
  6. Step 6: Final answer
    x = 436,013.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.